Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrodinger Operators on Bounded Lipschitz Domains

被引:32
作者
Gesztesy, Fritz [1 ]
Mitrea, Marius [1 ]
机构
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
来源
MODERN ANALYSIS AND APPLICATIONS: MARK KREIN CENTENARY CONFERENCE, VOL 2: DIFFERENTIAL OPERATORS AND MECHANICS | 2009年 / 191卷
关键词
Multi-dimensional Schrodinger operators; bounded Lipschitz domains; Robin-to-Dirichlet and Dirichlet-to-Neumann maps; SELF-ADJOINT EXTENSIONS; GENERALIZED RESOLVENTS; DIRICHLET; PERTURBATION; LAPLACIAN;
D O I
10.1007/978-3-7643-9921-4_6
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study Robin-to-Robin snaps, and Krein-type resolvent; formulas for Schrodinger operators on bounded Lipschitz domains in R-n, n >= 2, with generalized Robin boundary conditions.
引用
收藏
页码:81 / 113
页数:33
相关论文
共 84 条
[81]  
Warma M., 2002, THESIS U ULM
[82]   The Robin and Wentzell-Robin Laplacians on Lipschitz domains [J].
Warma, Mahamadi .
SEMIGROUP FORUM, 2006, 73 (01) :10-30
[83]  
Wloka J., 1987, Partial Differential Equations
[84]   Maximal Lp-regularity for the Laplacian on Lipschitz domains [J].
Wood, Ian .
MATHEMATISCHE ZEITSCHRIFT, 2007, 255 (04) :855-875